Paper Info
Title
A posteriori error estimates of finite element method for the time-dependent Navier-Stokes equations.
Abstract
In this paper, we consider the posteriori error estimates of Galerkin finite element method for the unsteady Navier–Stokes equations. By constructing the approximate Navier–Stokes reconstructions, the errors of velocity and pressure are split into two parts. For the estimates of time part, the energy method and other skills are used, for the estimates of spatial part, the well-developed theoretical analysis of posteriori error estimates for the elliptic problem can be adopted. More important, the error estimates of time part can be controlled by the estimates of spatial part. As a consequence, the posteriori error estimates in L∞(0, T; L2(Ω)), L∞(0, T; H1(Ω)) and L2(0, T; L2(Ω)) norms for velocity and pressure are derived in both spatial discrete and time-space fully discrete schemes.
Year
DOI
Venue
2017
10.1016/j.amc.2017.07.005
Applied Mathematics and Computation
Keywords
Field
DocType
Posteriori error estimates,Time-dependent Navier–Stokes equations,Navier–Stokes reconstruction,Backward Euler scheme
Mathematical optimization,Galerkin finite element method,Mathematical analysis,A priori and a posteriori,Finite element method,Energy method,Mathematics,Navier–Stokes equations
Journal
Volume
ISSN
Citations 
315
0096-3003
0
PageRank 
References 
Authors
0.34
8
2
Name
Order
Citations
PageRank
Tong Zhang15318.56
Shishun Li211.03